40245676299360 has 2304 divisors, whose sum is σ = 182411124940800. Its totient is φ = 8226983116800.

The previous prime is 40245676299343. The next prime is 40245676299373. The reversal of 40245676299360 is 6399267654204.

40245676299360 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 567 + 6 + 2 + 9 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5111856384 + ... + 5111864256.

It is an arithmetic number, because the mean of its divisors is an integer number (79171495200).

Almost surely, 2^{40245676299360} is an apocalyptic number.

40245676299360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40245676299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91205562470400).

40245676299360 is an abundant number, since it is smaller than the sum of its proper divisors (142165448641440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40245676299360 is a wasteful number, since it uses less digits than its factorization.

40245676299360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 40245676299360 in words is "forty trillion, two hundred forty-five billion, six hundred seventy-six million, two hundred ninety-nine thousand, three hundred sixty".